Final answer:
The force between two protons separated by 1.0 mm is calculated using Coulomb's Law and is approximately 2.3 x 10-14 N. None of the provided options are correct.
Step-by-step explanation:
The force between two protons separated by 1.0 mm (or 1.0 x 10-3 meters) can be calculated using Coulomb's Law, which is given as F = k * (|q1 * q2| / r2), where F is the force in Newtons, k is Coulomb's constant (8.988 x 109 Nm2/C2), q1 and q2 are the charges of the protons, and r is the separation distance in meters. Substituting the given values in, we get:
F = 8.988 x 109 * ((1.6 x 10-19C)2 / (1.0 x 10-3m)2)
After performing the calculations, the resulting force is approximately 2.3 x 10-14 N. None of the provided choices are correct.
It's important to remember that this interaction between two protons is repulsive since they have the same charge, and Coulomb's Law only calculates the magnitude of the force, not the direction.